Double-tailored nonimaging reflector optics for maximum-performance solar concentration

Alex Goldstein; Jeffrey M. Gordon

doi:10.1364/JOSAA.27.001977

Journal of the Optical Society of America A
Vol. 27,
Issue 9,
pp. 1977-1984
(2010)
•https://doi.org/10.1364/JOSAA.27.001977

Double-tailored nonimaging reflector optics for maximum-performance solar concentration

Alex Goldstein and Jeffrey M. Gordon

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Alex Goldstein and Jeffrey M. Gordon, "Double-tailored nonimaging reflector optics for maximum-performance solar concentration," J. Opt. Soc. Am. A 27, 1977-1984 (2010)

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Abstract

A nonimaging strategy that tailors two mirror contours for concentration near the étendue limit is explored, prompted by solar applications where a sizable gap between the optic and absorber is required. Subtle limitations of this simultaneous multiple surface method approach are derived, rooted in the manner in which phase space boundaries can be tailored according to the edge-ray principle. The fundamental categories of double-tailored reflective optics are identified, only a minority of which can pragmatically offer maximum concentration at high collection efficiency. Illustrative examples confirm that acceptance half-angles as large as 30 mrad can be realized at a flux concentration of $\sim 1000$ .

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Category	$θ_{in}$ (mrad)	Mapping	Intrinsic Loss	Ray Rejection	$C / C_{max}$	Eff.	AR	s	K	z-Coord. of Pt. N	x-Coord. of Pt. X
Class I, Designed for the Étendue Limit $(N A_{out} = 1)$
Fig. 5A	30	$LHI \to LHA$	0.108	0.000	0.892	0.892	0.575	38.3	2.85	$- 29.0$	11.0
Fig. 5 $B_{1}$	30	$RHI \to LHA$	0.057	0.045	0.898	0.898	0.405	$- 27.0$	$- 8.91$	$- 4.50$	$- 8.00$
Class III, Oversized Absorber $(N A_{out} = 0.9)$
Fig. 5A^b	30	$RHI \to LHA$	0.039	0.025	0.808	0.936	0.368	2.20	20.2
Fig. 5 $B_{1}$ ^b	30	$LHI \to LHA$	0.049	0.005	0.798	0.946	0.376	$- 20.7$	$- 8.00$	N.A.
Fig. 5 $B_{2}$ ^b	30	$LHI \to LHA$	0.052	0.008	0.658	0.940	1.810	$- 6.00$	$- 38.0$

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Journal of the Optical Society of America A